Lecture 5: Matrix operations - Bio723-class/Bio723-lecture GitHub Wiki

Learning goals checklist for this class session

• Learn about basic matrix operations and their relationship to vector algebraic concepts
• Learn about matrix inversion and solving sets of simultaneously linear equations
• Learn concepts like spaces spanned, linear dependence/independence, subspace, basis, rank

Slides

• Introduction to matrices

Assignment

Assignment Submission: Be sure to submit your assignment via Sakai, as an R Markdown file and the knit HTML document produced by your markdown file.

• Assignment 04, due 24 February 2020 by beginning of class.

  -- You can download a template R Markdown document for assignment at: homework-template.Rmd

Readings and Videos

• Bio 723 Workbook, Chapter 10

• Wickens, T. D. The Geometry of multivariate statistics. -- Chapter 4

• Please watch these videos by Grant Sanderson:

  • Linear combinations, span, and basis vectors
  • Linear transformations and matrices
  • Matrix multiplication as composition